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6142323144 = 2332323574721
BaseRepresentation
bin1011011100001110…
…00110100111001000
3120212001212100022210
411232013012213020
5100034413320034
62453255145120
7305132612436
oct55607064710
916761770283
106142323144
1126721aa321
1212350751a0
1376b70a649
14423a99d56
1525e39c8e9
hex16e1c69c8

6142323144 has 64 divisors (see below), whose sum is σ = 16033645440. Its totient is φ = 1957176320.

The previous prime is 6142323133. The next prime is 6142323151. The reversal of 6142323144 is 4413232416.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298704 + ... + 1303424.

It is an arithmetic number, because the mean of its divisors is an integer number (250525710).

Almost surely, 26142323144 is an apocalyptic number.

It is an amenable number.

6142323144 is an abundant number, since it is smaller than the sum of its proper divisors (9891322296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6142323144 is a wasteful number, since it uses less digits than its factorization.

6142323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7106 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 6142323144 is about 78372.9745766996. The cubic root of 6142323144 is about 1831.3761478422.

The spelling of 6142323144 in words is "six billion, one hundred forty-two million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2357 4714 4721 7071 9428 9442 14142 14163 18856 18884 28284 28326 37768 54211 56568 56652 108422 108583 113304 162633 216844 217166 325266 325749 433688 434332 650532 651498 868664 1301064 1302996 2605992 11127397 22254794 33382191 44509588 66764382 89019176 133528764 255930131 267057528 511860262 767790393 1023720524 1535580786 2047441048 3071161572 6142323144